SOLUTION: Let p, q, and r be the following statements: p: Roses are red q: The sky is blue r: The grass is green Translate the following statements into English (a) p ^ q

Question 185356This question is from textbook A Survey of Mathematics with Application
: Let p, q, and r be the following statements:
p: Roses are red
q: The sky is blue
r: The grass is green
Translate the following statements into English
(a) p ^ q (b) p ^ (q v r) (c)q -> (p ^r) (d) ( ~ r ^ ~ q) -> ~ p
This question is from textbook A Survey of Mathematics with Application

Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!

Let p, q, and r be the following statements:
p: Roses are red
q: The sky is blue
r: The grass is green
Translate the following statements into English
(a) p ^ q
Roses are red AND the sky is blue.
.
(b) p ^ (q v r)
Roses are red AND the sky is blue OR the grass is green.
.
(c)q -> (p ^r)
If the sky is blue then roses are red AND the grass is green.
.
(d) ( ~ r ^ ~ q) -> ~ p
If the grass is NOT green AND the sky is NOT blue then the roses are NOT red.
.

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